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Finding the Fourth Proportional to 12,277.06, 16,940.01 and 7,801.54

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Solution

The fourth proportional to 12,277.06, 16,940.01 and 7,801.54 is: 10,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.06 : 16,940.01 = 7,801.54 : x
  2. Step 2: Convert to fraction form
    12,277.06/16,940.01 = 7,801.54/x
  3. Step 3: Cross multiply
    12,277.06x = 16,940.01 × 7,801.54
  4. Step 4: Simplify right side
    12,277.06x = 132,158,165.62
  5. Step 5: Solve for x
    x = 132,158,165.62/12,277.06
  6. Step 6: Final answer
    x = 10,764.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.